Research in Mathematics of Materials Science
暫譯: 材料科學數學研究

Español, Malena I., Lewicka, Marta, Scardia, Lucia

  • 出版商: Springer
  • 出版日期: 2022-09-29
  • 售價: $4,050
  • 貴賓價: 9.5$3,848
  • 語言: 英文
  • 頁數: 418
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031044959
  • ISBN-13: 9783031044953
  • 海外代購書籍(需單獨結帳)

相關主題

商品描述

This volume highlights contributions of women mathematicians in the study of complex materials and includes both original research papers and reviews. The featured topics and methods draw on the fields of Calculus of Variations, Partial Differential Equations, Functional Analysis, Differential Geometry and Topology, as well as Numerical Analysis and Mathematical Modelling. Areas of applications include foams, fluid-solid interactions, liquid crystals, shape-memory alloys, magnetic suspensions, failure in solids, plasticity, viscoelasticity, homogenization, crystallization, grain growth, and phase-field models.


商品描述(中文翻譯)

本卷強調女性數學家在複雜材料研究中的貢獻,並包含原創研究論文和綜述。所涉及的主題和方法涵蓋變分法(Calculus of Variations)、偏微分方程(Partial Differential Equations)、泛函分析(Functional Analysis)、微分幾何(Differential Geometry)和拓撲學(Topology),以及數值分析(Numerical Analysis)和數學建模(Mathematical Modelling)。應用領域包括泡沫、流體-固體相互作用、液晶、形狀記憶合金、磁性懸浮、固體失效、塑性、粘彈性、均質化、結晶、晶粒生長和相場模型(phase-field models)。

作者簡介

Malena I. Español is an applied mathematician specializing in Numerical Analysis and Numerical Linear Algebra. Her research involves developing, analyzing, and applying mathematical models and numerical methods to problems arising in materials science and image processing. She is a faculty member in the School of Mathematical and Statistical Sciences at Arizona State University, USA.
Marta Lewicka is a mathematician specializing in Analysis and PDEs. She has contributed results in the theory of nonlinear elasticity, hyperbolic systems of conservation laws, fluid dynamics, calculus of variations, potential theory and differential games. She is a Fellow of the American Mathematical Society and she holds Professor's scientific title awarded by the President of the Republic of Poland. She works at the University of Pittsburgh, USA.
Lucia Scardia is a mathematician working in the calculus of variations and partial differential equations with applications in materials science. In particular, her interests include homogenization (deterministic and stochastic), harmonic analysis, non-local aggregation problems, dislocation theory, plasticity, and fracture and damage. She is an Associate Professor at Heriot-Watt University in Edinburgh, UK.
Anja Schlömerkemper is a professor of mathematics specializing in Mathematical Analysis with applications to Materials Science and Physics. She studies elastic and magnetic materials by involving methods from calculus of variations, PDEs and homogenization theory. She is the president of the International Society for the Interaction of Mechanics and Mathematics and she leads the chair of Mathematics in the Sciences at the University of Würzburg, Germany.

作者簡介(中文翻譯)

**Malena I. Español** 是一位應用數學家,專門研究數值分析和數值線性代數。她的研究涉及開發、分析和應用數學模型及數值方法,以解決材料科學和影像處理中出現的問題。她是美國亞利桑那州立大學數學與統計科學學院的教職員。

**Marta Lewicka** 是一位專注於分析和偏微分方程(PDEs)的數學家。她在非線性彈性理論、雙曲系統的守恆定律、流體動力學、變分法、勢能理論和微分博弈等領域做出了貢獻。她是美國數學學會的會士,並獲得波蘭總統頒發的教授科學稱號。她在美國匹茲堡大學工作。

**Lucia Scardia** 是一位數學家,專注於變分法和偏微分方程,並應用於材料科學。她的研究興趣包括均質化(確定性和隨機性)、調和分析、非局部聚合問題、位錯理論、塑性以及斷裂和損傷。她是英國愛丁堡的赫瑞瓦特大學的副教授。

**Anja Schlömerkemper** 是一位數學教授,專門研究數學分析,並應用於材料科學和物理學。她通過涉及變分法、偏微分方程和均質化理論的方法來研究彈性和磁性材料。她是國際力學與數學互動學會的會長,並在德國維爾茨堡大學擔任數學科學主席。